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Popular Functions >

g(x)=(3x-1)/(2x+1)

Solution

g (x) = \frac{3 x - 1}{2 x + 1}

Solution

Domain : x < - \frac{1}{2} or x > - \frac{1}{2}

Range : f (x) < \frac{3}{2} or f (x) > \frac{3}{2}

X Intercepts : (\frac{1}{3}, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - \frac{1}{2}, Horizontal y = \frac{3}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Range : (- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Domain of

\frac{3 x - 1}{2 x + 1} : x < - \frac{1}{2} or x > - \frac{1}{2}

Range of

\frac{3 x - 1}{2 x + 1} : f (x) < \frac{3}{2} or f (x) > \frac{3}{2}

Axis interception points of

\frac{3 x - 1}{2 x + 1} :

X Intercepts

: (\frac{1}{3}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{3 x - 1}{2 x + 1} :

Vertical

: x = - \frac{1}{2},

Horizontal

: y = \frac{3}{2}

Extreme Points of

\frac{3 x - 1}{2 x + 1} :

None

Graph

Popular Examples

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f(x)=x^5+10x^3+20x-4

f(x)=(4x+4)/(3x^{2/3)}

f(x)=2x^3+log_{10}(x+4)+100

Frequently Asked Questions (FAQ)

What is the g(x)=(3x-1)/(2x+1) ?
The g(x)=(3x-1)/(2x+1) is